Journal
APPLIED SOFT COMPUTING
Volume 41, Issue -, Pages 428-452Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.asoc.2015.12.030
Keywords
Multiple attribute decision making (MADM); Frank aggregation operators; Hesitant fuzzy set (HFS); Hesitant fuzzy Frank aggregation operators; Personnel selection
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Funding
- National Natural Science Foundation of China (NSFC) [71171048, 71371049]
- Ph.D. Program Foundation of Chinese Ministry of Education [20120092110038]
- Scientific Research and Innovation Project for College Graduates of Jiangsu Province [CXZZ13_0138]
- Scientific Research Foundation of Graduate School of Southeast University [YBJJ1454]
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In this paper, we investigate multiple attribute decision making (MADM) problems based on Frank triangular norms, in which the attribute values assume the form of hesitant fuzzy information. Firstly, some basic concepts of hesitant fuzzy set (HFS) and the Frank triangle norms are introduced. We develop some hesitant fuzzy aggregation operators based on Frank operations, such as hesitant fuzzy Frank weighted average (HFFWA) operator, hesitant fuzzy Frank ordered weighted averaging (HFFOWA) operator, hesitant fuzzy Frank hybrid averaging (HFFHA) operator, hesitant fuzzy Frank weighted geometric (HFFWG) operator, hesitant fuzzy Frank ordered weighted geometric (HFFOWG) operator, and hesitant fuzzy Frank hybrid geometric (HFFHG) operator. Some essential properties together with their special cases are discussed in detail. Next, a procedure of multiple attribute decision making based on the HFFHWA (or HFFHWG) operator is presented under hesitant fuzzy environment. Finally, a practical example that concerns the human resource selection is provided to illustrate the decision steps of the proposed method. The result demonstrates the practicality and effectiveness of the new method. A comparative analysis is also presented. (C) 2016 Elsevier B.V. All rights reserved.
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